GSE Math 7 Study Guide for Final Exam

Name ______

Determine if the sample is biased or unbiased. Explain your answer.

  1. USA Marketing asks people entering Cumberland Mall about volunteering to take a survey. ______
  1. In a survey of Cobb County middle schools, every third middle school is chosen and 100 students are randomly chosen from each of those middle schools. ______

Algebra/Number and Operations

  1. Simplify: -7(3y + 3x) + 4x
  1. Simplify: 3(a + 3b) + b
  1. Callie’s weekly pay is determined by the equation 225 + 25h = 425. How many hours did she work?
  1. A boat rental shop charges $50 per day for a sailboat. The first 25 miles are free, but any miles after that cost $0.50 each. Your family rented a boat for 3 days, and the rental fee was $192.50. How many miles did your family sail?
  1. The quotient of a number and 3 decreased by 2 is 5. What is the number?
  1. What number is 7 less than 3 times the absolute value of -9?
  1. Solve and plot it on a number line: | -5 | + | 3 |
  1. Model the problem given on a number line: -6 + 2 (HINT: Always start at zero.)
  1. Evaluate: (-3)3
  1. If x = -4, what is the value of 3x + 9?
  1. Solve: + 7 = 2
  1. If and s = 6. What is the value of w?
  1. Solve: x – 6 = -10
  1. A triangle has 2 congruent sides that are n inches long. The third side measures 4 inches more than each of the congruent sides. Write an algebraic expression that could be used to represent the perimeter in inches of this triangle.

Geometry – Cross Sections and Angles

  1. Name a 3-D figure that has a vertical cross section of a rectangle. (HINT: There are more than one answer.)
  1. Name the vertical and horizontal cross sections of a square pyramid and cube.

square pyramid / cube
vertical
horizontal
  1. What cross sections CAN be formed when a rectangular pyramid is intersected by a plane?
  1. AngleMLU and angle NLE are vertical angles. Therefore, they are ______to each other.

A. adjacentB. congruentC. similarD. proportional

  1. If the measurement of angleXVM = 100, what is measurement of angleTVX?

A. 100B. 45C. 80D. 136

Proportions

  1. Liz loves to decorate. She saw a lamp, but it was much too expensive. The original cost of the lamp was $175. If it was marked down 75%, how much would Liz spend for the lamp (excluding tax)?
  1. The Wilson family sold their house through a real estate agent for $300,000. If the real estate agent gets a 3.5% commission, how much will the Wilson family have to pay her?
  1. At Longhorn Steak House you order a meal that is $10.99 and a beverage that is $1.50. If you leave a 20% tip, how much will your total bill be (excluding tax)?
  1. If a cookie mix has a ratio of 4 cups of flour to 3 cups of sugar, how many cups of sugar would be needed if you cut it to 1 cup of flour?

Probability

  1. You are about to attack a dragon in a role playing game. You will throw two dice, one numbered one to 10 and the other with the letters A through F. What is the probability that you will roll the values eight and A?

27. Using the spinner below, what is the probability of spinning an even amount of money?

28. A spinner was spun 60 times. It landed on $300 20 times, $40010 times and $800 30 times. What is the probability of spinning $300 OR$800 dollars on the spinner? Write your answer as a percent.

29. A spinner has 4 colors: red, blue, yellow and green. The green and yellow sections are equal in size. If the probability of NOTspinning red or blue is 60%, what is the probability of spinning green?

Geometry

30. Daniel is covering a circular pool. The radius of the yard is 20 feet. Find the area of Daniel’s cover.

31. Find the surface area and the volume for the following prism:

32. Find the value of x and the degrees of the missing angles:

33. Find the degree of missing angle:

34. Find the value of x and the degree of the missing angle:

35. If angle FED is 43°, then solve for the complementary angle of CBA:

36. Solve for z:

Algebra/Number and Operations

37. Convert the following fractions to decimals:

a) b)

38. Convert the following decimals to percentages:

a) .34 b) .76 c) 1.34 d) .02

39. Convert the following percentages to decimals:

a) 83% b) 54% c) 3%

40. Convert the following decimals to fractions in simplest form:

a) 0.6 b) 0.43 c) 0.122

Proportions

41. What is the unit rate for 350 miles in 5 hours?

42. Alisha counted her heartbeats after running. In 15 seconds, she counted 33 heartbeats. At that rate, what was her number of heartbeats per minute (60 seconds)?